Abstract：An accurate analytical model is proposed to calculate the rotor eddy current losses resulted from the slotting effect in high speed permanent magnet (PM) machines. The analytical model accounts for five subdomains including slot and slot-opening. By establishing and solving the vector potential equations in different subdomains and considering boundary conditions between subdomains, the analytical model can be derived with account of the eddy current reaction in retaining sleeve and PM. Based on the analytical model, eddy current loss in retaining sleeve and PM can be calculated. The influence of slot-opening to slot-pitch ratio, retaining sleeve materials and retaining sleeve thickness on rotor eddy current losses is investigated. Comparing with the results calculated by finite element method (FEM) and test, it validates that the analytical model is correct.
孙权贵, 邓智泉, 张忠明. 基于齿槽效应的高速永磁电机转子涡流损耗解析计算[J]. 电工技术学报, 2018, 33(9): 1994-2004.
Sun Quangui, Deng Zhiquan, Zhang Zhongming. Analytical Calculation of Rotor Eddy Current Losses in High Speed Permanent Magnet Machines Accounting for Influence of Slot Opening. Transactions of China Electrotechnical Society, 2018, 33(9): 1994-2004.
[1] 高鹏飞, 房建成, 韩邦成, 等. 高速永磁电机的转子涡流损耗分析[J]. 微电机, 2013, 46(5): 5-11. Gao Pengfei, Fang Jiancheng, Han Bangcheng, et al.Analysis of rotor eddy-current loss in high-speed permanent magnet motors[J]. Micromotors, 2013, 46(5): 5-11. [2] 沈建新, 李鹏, 郝鹤, 等. 高速永磁无刷电机电磁损耗的研究概况(英文)[J]. 中国电机工程学报, 2013, 33(3): 62-74. Shen Jianxin, Li Peng, Hao He, et al.Study on electromagnetic losses in high-speed permanent magnet brushless machines-the state of the art[J]. Proceedings of the CSEE, 2013, 33(3): 62-74. [3] Huang Ziyuan, Fang Jiancheng, Liu Xiquan, et al.Loss calculation and thermal analysis of rotors supported by active magnetic bearings for high-speed permanent-magnet electrical machines[J]. IEEE Transactions on Industrial Electronics, 2016, 63(4): 2027-2035. [4] 孔晓光, 王凤翔, 邢军强. 高速永磁电机的损耗计算与温度场分析[J]. 电工技术学报, 2012, 27(9): 166-173. Kong Xiaogaung, Wang Fengxiang, Xing Junqiang.Losses calculation and temperature field analysis of high speed permanent magnet machines[J]. Transactions of China Electrotechnical Society, 2012, 27(9): 166-173. [5] 徐永向, 胡建辉, 胡任之, 等. 永磁同步电机转子涡流损耗计算的实验验证方法[J]. 电工技术学报, 2007, 22(7): 150-154. Xu Yongxiang, Hu Jianhui, Hu Renzhi, et al.An experimental verification method of calculation for rotor eddy current losses in PMSMs[J]. Transactions of China Electrotechnical Society, 2007, 22(7): 150-154. [6] 陈萍, 唐任远, 佟文明, 等. 高功率密度永磁同步电机永磁体涡流损耗分布规律及其影响[J]. 电工技术学报, 2015, 30(6): 1-9. Chen Ping, Tang Renyuan, Tong Wenming, et al.Permanent magnet eddy current loss and its influence of high power density permanent magnet synchronous motor[J]. Transactions of China Electrotechnical Society, 2015, 30(6): 1-9. [7] Wu L J, Zhu Z Q, Staton D, et al.Analytical model for predicting magnet loss of surface-mounted permanent magnet machines accounting for slotting effect and load[J]. IEEE Transactions on Magnetics, 2012, 48(1): 107-117. [8] Ishak D, Zhu Z Q, Howe D.Eddy-current loss in the rotor magnets of permanent-magnet brushless machines having a fractional number of slots per pole[J]. IEEE Transactions on Magnetics, 2005, 41(9): 2462-2469. [9] Wang Jiabin, Atallah K, Chin R, et al.Rotor eddy-current loss in permanent-magnet brushless AC machines[J]. IEEE Transactions on Magnetics, 2010, 46(7): 2701-2707. [10] 徐永向, 胡建辉, 邹继斌. 表贴式永磁同步电机转子涡流损耗解析计算[J].电机与控制学报, 2009, 13(1): 63-66, 72. Xu Yongxiang, Hu Jianhui, Zou Jibin.Analytical calculation of rotor eddy current losses of surface-mounted PMSM[J]. Electric Machines and Control, 2009, 13(1): 63-66, 72. [11] Zhu Z Q, Ng K, Schofield N, et al.Improved analytical modelling of rotor eddy current loss in brushless machines equipped with surface-mounted permanent magnets[J]. IEE Proceedings-Electric Power Applications, 2004, 151(6): 641-650. [12] 唐任远, 陈萍, 佟文明, 等. 考虑涡流反作用的永磁体涡流损耗解析计算[J]. 电工技术学报, 2015, 30(24): 1-10. Tang Renyuan, Chen Ping, Tong Wenming, et al.Analytical calculation of eddy current loss accounting for eddy current reaction[J]. Transactions of China Electrotechnical Society, 2015, 30(24): 1-10. [13] 郭思源, 周理兵, 齐歌. 双三相永磁同步电机电磁性能解析计算[J]. 电工技术学报, 2014, 29(5): 17-28. Guo Siyuan, Zhou Libing, Qi Ge.Analytical calculation of electromagnetic performance in dual three-phase permanent magnet brushless AC machines[J]. Transactions of China Electrotechnical Society, 2014, 29(5): 17-28. [14] 吴元元. 高速永磁无刷直流电机电磁场理论以及无位置传感器技术的研究[D]. 南京:南京航空航天大学, 2012. [15] Dubas F, Espanet C.Analytical solution of the magnetic field in permanent-magnet motors taking into account slotting effect: no-load vector potential and flux density calculation[J]. IEEE Transactions on Magnetics, 2009, 45(5): 2097-2109. [16] Zhu Z Q, Howe D, Chan C C.Improved analytical model for predicting the magnetic field distribution in brushless permanent-magnet machines[J]. IEEE Transactions on Magnetics, 2002, 38(1): 229-238. [17] 黄允凯, 胡虔生, 朱建国. 永磁无刷直流电机铁耗计算方法[J]. 电机与控制应用, 2007, 34(4): 6-9. Huang Yunkai, Hu Qiansheng, Zhu Jianguo.Methods for calculating core losses in permanent magnet motors[J]. Electric Machines & Control Application, 2007, 34(4): 6-9. [18] Gieras J F.Design of permanent magnet brushless motors for high speed applications[C]//2014 17th International Conference on Electrical Machines and Systems, Hangzhou, China, 2015: 1-16.
2018, Vol. 33 
